A Spectral Method for the Eigenvalue Problem for Elliptic Equations
نویسنده
چکیده
Let Ω be an open, simply connected, and bounded region in R, d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving the eigenvalue problem Lu = λu for an elliptic partial differential operator L over Ω with zero values for either Dirichlet or Neumann boundary conditions. We propose, analyze, and illustrate a ‘spectral method’ for solving numerically such an eigenvalue problem. This is an extension of the methods presented earlier in [5], [6].
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